Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830l |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-70441198639218000 = -1 · 24 · 33 · 53 · 11 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124959,-21232035] |
[a1,a2,a3,a4,a6] |
Generators |
[1566:59397:1] |
Generators of the group modulo torsion |
j |
-7992166558175554923/2608933282934000 |
j-invariant |
L |
3.9714521633681 |
L(r)(E,1)/r! |
Ω |
0.12488981318207 |
Real period |
R |
2.6499707103002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16830bl2 84150du1 |
Quadratic twists by: -3 5 |